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Finding the Third Proportional to 731,670 and 1,126,032

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Solution

The third proportional to 731,670 and 1,126,032 is: 1,732,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,670 : 1,126,032 = 1,126,032 : x
  2. Step 2: Convert to fraction form
    731,670/1,126,032 = 1,126,032/x
  3. Step 3: Cross multiply
    731,670x = 1,126,032 × 1,126,032
  4. Step 4: Simplify right side
    731,670x = 1,267,948,065,024
  5. Step 5: Solve for x
    x = 1,267,948,065,024/731,670
  6. Step 6: Final answer
    x = 1,732,950.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.